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26057152 = 261137013
BaseRepresentation
bin110001101100…
…1100111000000
31211000211200201
41203121213000
523132312102
62330254544
7434324242
oct143314700
954024621
1026057152
1113788140
128887454
135524444
143664092
15244a987
hex18d99c0

26057152 has 28 divisors (see below), whose sum is σ = 56409336. Its totient is φ = 11843840.

The previous prime is 26057149. The next prime is 26057159. The reversal of 26057152 is 25175062.

It is a super-2 number, since 2×260571522 = 1357950340702208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26057152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26057159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17803 + ... + 19210.

Almost surely, 226057152 is an apocalyptic number.

26057152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26057152 is an abundant number, since it is smaller than the sum of its proper divisors (30352184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26057152 is a wasteful number, since it uses less digits than its factorization.

26057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37036 (or 37026 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 26057152 is about 5104.6206519192. The cubic root of 26057152 is about 296.4665153897.

The spelling of 26057152 in words is "twenty-six million, fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 37013 74026 148052 296104 407143 592208 814286 1184416 1628572 2368832 3257144 6514288 13028576 26057152